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Finding the Fourth Proportional to 654.49, 980.50 and 616.36

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Solution

The fourth proportional to 654.49, 980.50 and 616.36 is: 923.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.49 : 980.50 = 616.36 : x
  2. Step 2: Convert to fraction form
    654.49/980.50 = 616.36/x
  3. Step 3: Cross multiply
    654.49x = 980.50 × 616.36
  4. Step 4: Simplify right side
    654.49x = 604,340.98
  5. Step 5: Solve for x
    x = 604,340.98/654.49
  6. Step 6: Final answer
    x = 923.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.